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Volume 19, Issue 2
On Maxima of Dual Function of the CDT Subproblem

Xiong-Da Chen & Ya-Xiang Yuan

J. Comp. Math., 19 (2001), pp. 113-124.

Published online: 2001-04

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  • Abstract

In this paper, we show the geometry meaning of the maxima of the CDT subproblem's dual function. We also studied the continuity of the global solution of the trust region subproblem. Based on an approximation model, we prove that the global solution of the CDT subproblem is given with the Hessian of Lagrangian positive semi-definite by some specially-located dual maxima and by restricting the location region of the multipliers which corresponding a global solution in other cases.  

  • Keywords

Trust region subproblem, Global minimizer, Approximation.

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COPYRIGHT: © Global Science Press

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@Article{JCM-19-113, author = {Chen , Xiong-Da and Yuan , Ya-Xiang}, title = {On Maxima of Dual Function of the CDT Subproblem}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {2}, pages = {113--124}, abstract = {

In this paper, we show the geometry meaning of the maxima of the CDT subproblem's dual function. We also studied the continuity of the global solution of the trust region subproblem. Based on an approximation model, we prove that the global solution of the CDT subproblem is given with the Hessian of Lagrangian positive semi-definite by some specially-located dual maxima and by restricting the location region of the multipliers which corresponding a global solution in other cases.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8962.html} }
TY - JOUR T1 - On Maxima of Dual Function of the CDT Subproblem AU - Chen , Xiong-Da AU - Yuan , Ya-Xiang JO - Journal of Computational Mathematics VL - 2 SP - 113 EP - 124 PY - 2001 DA - 2001/04 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8962.html KW - Trust region subproblem, Global minimizer, Approximation. AB -

In this paper, we show the geometry meaning of the maxima of the CDT subproblem's dual function. We also studied the continuity of the global solution of the trust region subproblem. Based on an approximation model, we prove that the global solution of the CDT subproblem is given with the Hessian of Lagrangian positive semi-definite by some specially-located dual maxima and by restricting the location region of the multipliers which corresponding a global solution in other cases.  

Chen , Xiong-Da and Yuan , Ya-Xiang. (2001). On Maxima of Dual Function of the CDT Subproblem. Journal of Computational Mathematics. 19 (2). 113-124. doi:
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